Search a number
-
+
241163323403013 = 3211711312231174469
BaseRepresentation
bin110110110101011000110110…
…001110010110101100000101
31011121212222200122210000020100
4312311120312032112230011
5223102204441242344023
62212524522403354313
7101540321654220234
oct6665306616265405
91147788618700210
10241163323403013
116a929877a45330
122306b099082999
13a4747b077643b
14437a51d5a8b1b
151cd3328b36c43
hexdb5636396b05

241163323403013 has 96 divisors (see below), whose sum is σ = 390050619678720. Its totient is φ = 142359615216000.

The previous prime is 241163323402979. The next prime is 241163323403027. The reversal of 241163323403013 is 310304323361142.

241163323403013 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 6 + 3 + 3 + 2 + 340 + 301 + 3 = 666.

It is not a de Polignac number, because 241163323403013 - 26 = 241163323402949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241163323413013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204750943 + ... + 205925411.

It is an arithmetic number, because the mean of its divisors is an integer number (4063027288320).

Almost surely, 2241163323403013 is an apocalyptic number.

It is an amenable number.

241163323403013 is a deficient number, since it is larger than the sum of its proper divisors (148887296275707).

241163323403013 is a wasteful number, since it uses less digits than its factorization.

241163323403013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174911 (or 1174908 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 241163323403013 its reverse (310304323361142), we get a palindrome (551467646764155).

The spelling of 241163323403013 in words is "two hundred forty-one trillion, one hundred sixty-three billion, three hundred twenty-three million, four hundred three thousand, thirteen".

Divisors: 1 3 9 11 33 71 99 131 213 223 393 639 669 781 1179 1441 2007 2343 2453 4323 7029 7359 9301 12969 15833 22077 27903 29213 47499 83709 87639 102311 142497 174163 262917 306933 321343 522489 920799 964029 1174469 1567467 2074123 2892087 3523407 6222369 10570221 12919159 18667107 22815353 38757477 68446059 83387299 116272431 153855439 205338177 250161897 261906587 461566317 750485691 785719761 917260289 1384698951 1692409829 2357159283 2751780867 2880972457 5077229487 8255342601 8642917371 10923736169 15231688461 18595367677 25928752113 32771208507 34309762897 55786103031 98313625521 102929288691 120161097859 167358309093 204549044447 308787866073 360483293577 377407391867 613647133341 1081449880731 1132222175601 1840941400023 2435993165687 3396666526803 7307979497061 21923938491183 26795924822557 80387774467671 241163323403013